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4 years ago

Divide the number 480 in a ratio of 3:5

Mathematics

2 answers:

Schach [20]4 years ago

6 0

If it is a ratio of 3:5 you are dividing 480 into 8 parts (3+5).

So divide 480 by 8: 480/8 = 60

Then the ratio is (3x60):(5x60) or 180:300

To check it is correct, add up the two parts to see that they come to 480:

180+300 = 480. All good.

Hope this helps

stepan [7]4 years ago

6 0

Answer:

The number 480 after dividing in the ratio 3:5 are 180 and 300

Step-by-step explanation:

We have to divide the number 480 in the ratio 3:5

Let the numbers after dividing be 3x and 5x

(3x:5x=3:5)

3x+5x=480

⇒ 8x=480

Dividing both sides by 8, we get

x=60

So, the numbers after dividing are:

3×60=180

and 5×60=300

Hence, the number 480 after dividing in the ratio 3:5 are 180 and 300

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Steve wants to know what the average ACT scores of students graduated from his high school is. He randomly selected 25 students

beks73 [17]

Answer:

[a]. sample is 25 randomly selected students

also population is all students

[b]. (20.0, 23.0)

[c]. (8.8, 24.2)

Step-by-step explanation:

here is a step by step process to solving this, i hope you find this helpful.

1). The population is all students who graduated from his school while the

sample is 25 randomly selected students from the email list

2). given alpha = 1-0.86=0.14

critical z value(two tailed) for 86% confidence level is:

z=normsinv(0.07) or normsinv(0.93)=1.476

Margin of error=1.476*(4.6/SQRT(20))=1.5

86% confidence interval for population mean

=21.5+/-1.5

=(20.0, 23.0)

3). if population standard deviation is not known,we will use t distribution.

df=20-1=19

t*=tinv(0.05,19)=2.093

Margin of error=2.093*(5.7/sqrt(20))=2.7

95% confidence interval for population mean

=21.5+/-2.7

=(18.8, 24.2)

cheers i hope this helps!!!!

3 0

3 years ago

Write two expressions whose sum is x-3/x+2, I need help it is confusing for me.

lara [203]

$\bf \cfrac{x}{x+2}~~-~~\cfrac{3}{x+2}\impliedby \textit{since the LCD is }x+2\implies \cfrac{x-3}{x+2}$

6 0

3 years ago

What is the approximate solution of this system of equations y=2^x and y=3x

Bond [772]

I graphed it out and it seems that both A and C are correct. I would check them to make sure.

6 0

3 years ago

Shirley has a circular rug in her dining room that has an area of 36 pie Square meters what is the radius of the circular rug

ValentinkaMS [17]

Answer: The radius of the circular rug is 6 meters.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

<em>Area of a circle (A) = pi r² </em>

Where r is the radius:

Replacing with the values given:

36 pi=pi r²

Dividing both sides by pi:

36 = r²

√36= r

r = 6 meters

So, the radius of the circular rug is 6 meters.

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

Read 2 more answers

a class has 60 students.Given that 85% passed a science test. Find the number of students who failed and then convert o %

Vanyuwa [196]

Given:

Total students = 60

Student passed = 85%

To find:

The number of students who failed and then convert it in %.

Solution:

We have,

Number of passed student = 85% of Total students

= $\dfrac{85}{100}\times 60$

= $51$

So, number of passes students is 51.

Number of students who failed = Total students - Passes students

= $60-51$

= $9$

So, number of students who failed is 9.

$\text{Fail}\%=\dfrac{\text{Failed students}}{\text{Total students}}\times 100$

$\text{Fail}\%=\dfrac{9}{60}\times 100$

$\text{Fail}\%=15$

Therefore, 15% students fail in the test.

7 0

3 years ago